#include <iostream>
#include <iomanip>
#include <cmath>

using namespace std;

const double	PI = 3.14159256;

int main ()
{
	double		azimuth;
	double		upAngle;
	double		distance;
	double		groundDistance;
	double		xDistance;
	double		yDistance;
	double		wasAzimuth;
	double		wasUp;
	double		wasDistance;
	double		wasGround;
	double		wasHi;
	double		wasX;
	double		wasY;
	char		xDirection;
	char		yDirection;
	double		height;
	double		speed;

	cout << "Enter previous azimuth, up-angle and distance: ";
	cin >> wasAzimuth >> wasUp >> wasDistance;
	wasAzimuth = wasAzimuth * PI / 180;
	wasUp = wasUp * PI / 180.0;
	wasGround = wasDistance * cos (wasUp);
	wasHi = wasDistance * sin (wasUp);   cout << "Was " << wasHi;
	wasY = wasGround * cos (wasAzimuth);
	wasX = wasGround * sin (wasAzimuth);

	cout << "Enter the azimuth, up-angle, and distance: ";
	cin >> azimuth >> upAngle >> distance;
	azimuth = azimuth * PI / 180.0;
	upAngle = upAngle * PI / 180.0;
	groundDistance = distance * cos (upAngle);
	height = distance * sin(upAngle);   cout << " now " << height << endl;
	yDistance = groundDistance * cos (azimuth);
	xDistance = groundDistance * sin (azimuth);
	wasX = xDistance - wasX;
	wasY = yDistance - wasY;
	wasHi = height - wasHi;
	speed = sqrt (wasX * wasX + wasY * wasY + wasHi * wasHi) * 60.0;
	xDistance += wasX;
	yDistance += wasY;
	height += wasHi;
	cout << fixed << showpoint << setprecision(2);
	if (xDistance < 0.0)
	{
		xDistance = -xDistance;
		xDirection = 'W';
	}
	else
		xDirection = 'E';
	if (yDistance < 0.0)
	{
		yDistance = -yDistance;
		yDirection = 'S';
	}
	else
		yDirection = 'N';
	cout << "\nPlane speed is " << speed << " mph" << endl;
	cout << "\nPredicted location is " << xDistance << " miles " 
		<< xDirection << ", " << yDistance << " miles " << yDirection
		<< " at altitude " << height << " miles"<< endl;
	return 0;
}